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Finding the Fourth Proportional to 51,545.64, 77,325 and 18,259.20

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Solution

The fourth proportional to 51,545.64, 77,325 and 18,259.20 is: 27,391.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,545.64 : 77,325 = 18,259.20 : x
  2. Step 2: Convert to fraction form
    51,545.64/77,325 = 18,259.20/x
  3. Step 3: Cross multiply
    51,545.64x = 77,325 × 18,259.20
  4. Step 4: Simplify right side
    51,545.64x = 1,411,892,640
  5. Step 5: Solve for x
    x = 1,411,892,640/51,545.64
  6. Step 6: Final answer
    x = 27,391.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.